The Dimensionless Quantity Connecting Sun-like Stars to Red Dwarfs on a Mass-Radii Diagram: The Cassandra Ratio

Authors: Jeffrey Joseph Wolynski

It is presented a dimensionless quantity that predicts the radii of G, K and M type stars between 1/2 and 1 Solar mass. That quantity is 9.6/1000, or ~1/100. So if you have a G, K or M type star with the radii of 5-10 Jupiters, you can multiply that radii by 100 to find its mass in Jupiter masses. The dimensionless quantity and graph shows that the Sun will not become a red giant, it will lose its size due to mass loss via the mass loss principle at a rate of ~1/100 per unit mass. Data is taken from the Kepler data set and is listed, as well as a line of best fit on the graph. The line on the graph is the location of the Cassandra Ratio.

Comments: 6 Pages. 2 graphs, 1 data set, 1 picture

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Submission history

[v1] 2018-06-02 11:45:07

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